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  • Conference proceedings
  • Open Access
  • © 2020

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018

Editors:

  1. Spencer J. Sherwin

    1. Department of Aeronautics, Imperial College, London, UK

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  2. David Moxey

    1. College of Engineering, Mathematics & Physical Sciences, University of Exeter, Exeter, UK

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  3. Joaquim Peiró

    1. Department of Aeronautics, Imperial College, London, UK

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  4. Peter E. Vincent

    1. Department of Aeronautics, Imperial College, London, UK

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  5. Christoph Schwab

    1. Department of Mathematics, ETH Zürich, Zürich, Switzerland

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  • Proceedings of leading conference in high-order methods

  • Wide coverage of high-order numerical techniques and their applications

  • Contributions from internationally leading experts in the field

  • Presentation of the state-of-the-art and extensive bibliography

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 134)

Sections

Softcover Book USD 59.99
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Hardcover Book USD 59.99
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Table of contents (51 papers)

  1. Front Matter

    Pages i-xi
    PDF

  2. Invited Papers

    1. Front Matter

      Pages 1-1
      PDF

    3. On the Order Reduction of Entropy Stable DGSEM for the Compressible Euler Equations

      • Florian J. Hindenlang, Gregor J. Gassner
      Pages 21-44Open Access

    6. Recurrence Relations for a Family of Orthogonal Polynomials on a Triangle

      • Sheehan Olver, Alex Townsend, Geoffrey M. Vasil
      Pages 79-92Open Access

  3. Contributed Papers

    1. Front Matter

      Pages 93-93
      PDF

    2. Greedy Kernel Methods for Center Manifold Approximation

      • Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar
      Pages 95-106Open Access

    4. Hermite Methods in Time

      • Rujie Gu, Thomas Hagstrom
      Pages 119-130Open Access

    5. HPS Accelerated Spectral Solvers for Time Dependent Problems: Part I, Algorithms

      • Tracy Babb, Per-Gunnar Martinsson, Daniel Appelö
      Pages 131-141Open Access

    6. On the Use of Hermite Functions for the Vlasov–Poisson System

      • Lorella Fatone, Daniele Funaro, Gianmarco Manzini
      Pages 143-153Open Access

    7. HPS Accelerated Spectral Solvers for Time Dependent Problems: Part II, Numerical Experiments

      • Tracy Babb, Per-Gunnar Martinsson, Daniel Appelö
      Pages 155-166Open Access

    8. High-Order Finite Element Methods for Interface Problems: Theory and Implementations

      • Yuanming Xiao, Fangman Zhai, Linbo Zhang, Weiying Zheng
      Pages 167-177Open Access

    9. Stabilised Hybrid Discontinuous Galerkin Methods for the Stokes Problem with Non-standard Boundary Conditions

      • Gabriel R. Barrenechea, Michał Bosy, Victorita Dolean
      Pages 179-189Open Access

    10. RBF Based CWENO Method

      • Jan S. Hesthaven, Fabian Mönkeberg, Sara Zaninelli
      Pages 191-201Open Access

    11. Discrete Equivalence of Adjoint Neumann–Dirichlet div-grad and grad-div Equations in Curvilinear 3D Domains

      • Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma
      Pages 203-213Open Access

    12. A Conservative Hybrid Method for Darcy Flow

      • Varun Jain, Joël Fisser, Artur Palha, Marc Gerritsma
      Pages 215-227Open Access

    13. High-Order Mesh Generation Based on Optimal Affine Combinations of Nodal Positions

      • Mike Stees, Suzanne M. Shontz
      Pages 229-238Open Access
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About this book

This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.


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Keywords

  • High-order methods
  • Partial differential equations
  • Spectral methods
  • Isogeometric methods
  • Discontinuous Galerkin methods
  • Wave simulation
  • Uncertainty quantification
  • Open access
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Editors and Affiliations

  • Department of Aeronautics, Imperial College, London, UK

    Spencer J. Sherwin, Joaquim Peiró, Peter E. Vincent

  • College of Engineering, Mathematics & Physical Sciences, University of Exeter, Exeter, UK

    David Moxey

  • Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Christoph Schwab

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Bibliographic Information

  • Book Title: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

  • Book Subtitle: Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018

  • Editors: Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab

  • Series Title: Lecture Notes in Computational Science and Engineering

  • DOI: https://doi.org/10.1007/978-3-030-39647-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2020

  • License: CC BY

  • Hardcover ISBN: 978-3-030-39646-6Published: 12 August 2020

  • Softcover ISBN: 978-3-030-39649-7Published: 11 September 2020

  • eBook ISBN: 978-3-030-39647-3Published: 11 August 2020

  • Series ISSN: 1439-7358

  • Series E-ISSN: 2197-7100

  • Edition Number: 1

  • Number of Pages: XI, 658

  • Number of Illustrations: 27 b/w illustrations, 151 illustrations in colour

  • Topics: Differential Equations, Numerical Analysis

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Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)
Learn about institutional subscriptions